EXHIBIT 4.4

     FORM OF CO-CONVERSION AGENT WARRANT EXCERCISABLE AT $3.1847 PER SHARE

THE SECURITIES REPRESENTED HEREBY HAVE BEEN ACQUIRED BY THE HOLDER FOR
INVESTMENT AND MAY NOT BE PLEDGED, HYPOTHECATED, SOLD, TRANSFERRED OR OTHERWISE
DISPOSED OF EXCEPT AS MAY BE AUTHORIZED UNDER THE SECURITIES ACT OF 1933 AND THE
RULES AND REGULATIONS PROMULGATED THEREUNDER.


                          FORTUNE PETROLEUM CORPORATION


WARRANT                                                          _______WARRANTS
CERTIFICATE NO. ____                                      DATED DECEMBER__, 1996
                                                          (THE "EXERCISE DATE")

                              WARRANT TO PURCHASE SHARES OF COMMON STOCK

      THIS CERTIFIES that, for value received,_____________________________ or
registered assigns ("Holder"), is the registered holder of the number of
warrants set forth above (the "Warrants"), each of which entitles Holder to
purchase, subject to the terms and conditions set forth below, one fully paid
and non-assessable share of Common Stock of FORTUNE PETROLEUM CORPORATION, a
Delaware corporation (the "Company"), at a purchase price of $3.1847 per share
(the "Purchase Price"), at any time or from time to time after the date set
forth above (the "Exercise Date") and on or prior to 5:00 P.M., Houston, Texas
time, on December __, 1999 (three years after the Exercise Date) (the
"Expiration Date"). The Purchase Price and the number and kinds of securities of
the Company purchasable upon the exercise of the Warrants represented hereby are
subject to modification or adjustment as provided below. The Purchase Price
shall be payable in lawful funds of the United States. Upon presentation and
surrender of this Warrant Certificate together with the payment of the Purchase
Price attached hereto duly executed, at the place and in the manner specified in
Section 4, below, the Holder shall be entitled to receive a certificate or
certificates for the shares of Common Stock so purchased.

            1.    REGISTRATION AND TRANSFER

                  1.1   GENERAL

      The Company shall maintain books for the registration and transfer of the
Warrants. Prior to due presentment for registration of transfer of the Warrants,
the Company may deem and treat the registered Holder as the absolute owner
thereof.

                  1.2   TRANSFER

                        The Warrants may not be assigned, or transferred without
                        the prior written consent of the Company, in its sole
                        and absolute discretion;

                  1.3   REGISTRATION

                        Subject to Section 1.2 above, the Company shall register
                        upon its books any transfer of the Warrants upon
                        surrender of this Warrant Certificate to the Company
                        accompanied (if so required by the Company) by a written
                        instrument of transfer duly executed by the registered
                        Holder or by a duly authorized attorney. Upon any such
                        registration of transfer, a new Warrant Certificate
                        shall be issued to the transferee and the surrendered
                        Warrant Certificate shall be canceled by the Company. If
                        only a portion of the Warrants represented by this
                        Warrant Certificate are transferred, a new Warrant
                        Certificate shall also be issued to the transferor.

            2.    LOSS OR MUTILATION

                  2.1   Upon receipt by the Company of reasonable evidence of
                        the ownership and the loss, theft, destruction or
                        mutilation of this Warrant Certificate, and, in the case
                        of loss, theft or destruction, of indemnity reasonable
                        satisfactory to the Company, or, in the case of
                        mutilation, upon surrender and cancellation


                                                              EXHIBIT 4.4 PAGE 1

                        of the mutilated Warrant Certificate, the Company shall
                        execute and deliver in lieu thereof a new Warrant
                        Certificate representing an equal number of Warrants.

           3.  ADJUSTMENTS

               The Purchase Price and the number of shares purchasable upon the
               exercise of the Warrants shall be subject to adjustment from time
               to time upon the occurrence of certain events described herein.

               3.1  PURCHASE PRICE ADJUSTMENT

                  (a)   SPLIT, SUBDIVISION OR COMBINATION OF SHARES

                        If the Company, at any time while these Warrants remain
                        outstanding and unexpired, shall split, subdivide or
                        combine the securities as to which purchase rights
                        hereunder exist, the Purchase Price shall be
                        proportionately increased or decreased as appropriate.

                  (b)   COMMON STOCK DIVIDENDS

                        If the Company, at any time while these Warrants remain
                        outstanding and unexpired, shall pay a dividend or make
                        any other distribution with respect to the shares of
                        Common Stock payable in Common Stock, then the Purchase
                        Price shall be adjusted, from and after the date of
                        determination of the shareholders entitled to receive
                        any dividend or distribution, to that price determined
                        by multiplying the Purchase Price in effect immediately
                        prior to such date of determination by a fraction, the
                        numerator of which shall be the total number of shares
                        of Common Stock outstanding immediately prior to such
                        dividend or distribution, and the denominator of which
                        shall be the total number of shares of Common Stock
                        outstanding immediately after such dividend or
                        distribution.

                  (c)   OTHER DIVIDENDS

                        If the Company, at any time while these Warrants remain
                        outstanding and unexpired, shall pay a dividend or make
                        any other distribution with respect to Common Stock
                        payable in stock (other than Common Stock) or other
                        securities or property, the Holder hereof shall be
                        entitled to receive, upon exercise of the Warrants, in
                        addition to the shares of Common Stock otherwise
                        receivable upon exercise hereof, the same number and
                        kind of stock, other securities or property which the
                        Holder would have received had the Holder then held the
                        shares of Common Stock receivable on exercise hereof on
                        and before the record date for such dividend or
                        distribution.

                  (d)   RECLASSIFICATION AND RECAPITALIZATION

                        In the event of any reclassification or recapitalization
                        of the Common Stock, the Purchase Price shall be
                        appropriately adjusted in good faith by the Board of
                        Directors of the Company to reflect such
                        reclassification or recapitalization and to protect:

                        (i)   the rights of the Holder to receive, upon the
                              exercise hereof, the same amount of securities or
                              property that it would have received had it
                              exercised the Warrants immediately prior to the
                              date for determination of Holders of Common Stock
                              entitled to receive securities or property as a
                              result of such reclassification or
                              recapitalization, and;

                        (ii)  the Holder's rights to appropriate adjustment upon
                              further stock dividend, stock split,
                              reclassification or recapitalization.

            3.2   ADJUSTMENT OF NUMBER OF SHARES

                  Upon each adjustment in the Purchase Price to Section 3.1(a)
                  or Section 3.1(b) above, the number of shares of Common Stock
                  purchasable hereunder shall be adjusted to the nearest whole
                  share to the product obtained by multiplying the number of
                  shares purchasable immediately prior to such adjustment in the
                  Purchase Price by a fraction, the numerator of which shall be
                  the Purchase Price

                                                              EXHIBIT 4.4 PAGE 2

                  immediately prior to such adjustment, and the denominator of
                  which shall be the Purchase Price immediately after such
                  adjustment.

            3.3   CAPITAL REORGANIZATION, MERGER OR SALE OF ASSETS

                  If, at any time, or from time to time, there shall be a
                  capital reorganization of the Common Stock (other than a
                  subdivision, combination, reclassification, or exchange of
                  shares provided for elsewhere herein), or a merger or
                  consolidation of the Company with or into another corporation,
                  or a sale of all, or substantially all, of the Company's
                  properties and assets to any other person, the Holder shall
                  thereafter be entitled to purchase (and it shall be a
                  condition to the consummation of any such reorganization,
                  merger, consolidation or sale, that appropriate provision be
                  made so that the Holder shall thereafter be entitled to
                  purchase), upon exercise of the Warrants, the kind and amount
                  of shares of stock or other securities or property in the
                  Company, or of the successor corporation resulting from such
                  merger, consolidation or sale, to which a holder of Common
                  Stock issuable upon exercise would have been entitled on such
                  capital reorganization, merger, consolidation or sale to the
                  end that the provisions of this Section 3 (including
                  adjustment of the Purchase Price then in effect and the number
                  of shares of Common Stock purchasable upon exercise of the
                  Warrants) shall be applicable after that event in as nearly
                  equivalent a manner as may be practicable.

            3.4   CERTIFICATE AS TO ADJUSTMENT

                  Upon the occurrence of each adjustment or readjustment of the
                  Purchase Price and the number of shares of Common Stock
                  pursuant to this Section 3, the Company, at its expense, shall
                  promptly compute such adjustment or readjustment in accordance
                  with the terms hereof, and cause its chief financial officer
                  to verify such computation and prepare and furnish, to the
                  Holder, a certificate setting forth such adjustment or
                  readjustment and showing, in detail, the facts upon which such
                  adjustment or readjustment is based. The Company shall, upon
                  the written request at any time of the Holder, furnish, or
                  cause to be furnished to the Holder, a like certificate
                  setting forth :

                           (a) such adjustment and readjustment;

                           (b) the Purchase Price at the time in effect, and

                           (c) the number of shares of Common Stock and the
                               amount, if any, of other securities and/or
                               property which, at the time, would be receivable
                               upon the exercise of the Warrants.;

                  Such certificate shall set forth, in reasonable detail, such
                  facts as may be necessary to show the reason for, and manner
                  of, computing such adjustment.

            3.5   NO IMPAIRMENT

                  The Company will not, by amendment of its Certificate of
                  Incorporation, or through any reorganization,
                  recapitalization, recapitalization, transfer of assets,
                  consolidation, merger, dissolution, issue or sale of
                  securities, or any other voluntary action, avoid , or seek to
                  avoid, the observance or performance or any of the terms to be
                  observed or performed hereunder by the Company, but will at
                  all times in good faith assist in the carrying out of all the
                  provisions of this Section 3, and in the taking of all such
                  actions as may be necessary or appropriate in order to protect
                  the exercise rights of the Holder against impairment.

            3.6   NOTICES OF RECORD DATE

                  In the event of any taking by the Company of a record of the
                  holders of any class of securities for the purpose of
                  determining the holders thereof who are entitled to receive
                  any dividend (other than a cash dividend) or other
                  distribution, any rights to subscribe for, purchase, or
                  otherwise acquire any shares of stock of any class or for any
                  securities or property, or to receive any other right, the
                  Company shall mail to the Holder, at least thirty (30) days
                  prior to the date specified therein, a notice specifying the
                  date on which any such record is to be taken for the purpose
                  of such dividend, distribution, or right, in the amount and
                  character of such dividend, distribution or right.

                                                              EXHIBIT 4.4 PAGE 3

            3.7   NO FRACTIONAL SHARES

                  No fractional shares shall be issued upon exercise of the
                  Warrants, and the number of shares of Common Stock to be
                  issued shall be rounded to the nearest full share. Such
                  rounding shall be determined on the basis of the total number
                  of Warrants the Holder is at the time exercising, and the
                  number of shares of Common Stock issuable upon such aggregate
                  exercise.

            4.    EXERCISE OF WARRANTS

                  The purchase rights represented by these Warrants are
                  exercisable by the Holder, in whole or in part, at any time
                  and from time to time, on or after the Exercise Date, and on
                  or prior to the Expiration Date. The Warrants may be exercised
                  by surrender of this Warrant Certificate, with the Notice of
                  Exercise attached hereto duly executed, to the principal
                  executive office of the Company, presently located at 515 W.
                  Greens Rd., Suite 720, Houston, Texas, 77067 (or such other
                  office or agency of the Company as it may designate by notice
                  in writing to the registered Holder hereof at the address of
                  such Holder appearing on the books of the Company), and shall
                  be accompanied by payment in cash, check or bank draft,
                  payable to the Company, in an amount equal to the full
                  purchase price for the shares of Common Stock of the Company
                  (hereinafter referred to as the "Shares"). The Company shall
                  deliver a certificate or certificates representing the Shares
                  as soon as practical, and, in any event, within ten (10) days
                  after the notice shall be received. The certificate or
                  certificates for the Shares shall be registered in the name of
                  the person or persons exercising the Warrants and shall be
                  delivered, as provided above, to the written order of the
                  person or persons exercising the Warrants. All shares of
                  Common Stock which may be issued upon the exercise of the
                  Warrants, as provided herein, shall be fully paid and
                  non-assessable and free from all taxes, liens and charges with
                  respect thereto. Holder shall not be entitled to the
                  privileges of share ownership as to any shares of Common Stock
                  not actually issued and delivered to it. Holder hereby
                  certifies that all shares of Common Stock in the Company
                  purchased or to be purchased by it, pursuant to the exercise
                  of the Warrants, are being, or are to be, acquired by it for
                  investment and not with a view to the distribution thereof.

           5.  REDEMPTION

                  (a)   The then outstanding Warrants may be redeemed, at the
                        option of the Company, at $.05 per share of Common
                        Stock, purchasable upon exercise of such Warrants, at
                        any time after the Warrants shall be separately
                        transferable in accordance with this agreement, and
                        after the Daily Market Price per share of the Common
                        Stock, for a period of at least 10 consecutive trading
                        days ending not more than 10 days prior to the date of
                        the notice given, pursuant to Section 5(b), has equaled
                        or exceeded $6.00 per share, and prior to expiration of
                        the Warrants. The Daily Market Price of the Common Stock
                        shall be determined by the Company in the manner set
                        forth in Section 5(e) as of the end of each trading day
                        (or, if no trading in the Common Stock occurred on such
                        day, as of the end of the immediately preceding trading
                        day in which trading occurred). All outstanding Warrants
                        must be redeemed if any are redeemed, and any right to
                        exercise an outstanding Warrant shall terminate at 5:00
                        p.m. (Houston, Texas time) on the business day
                        immediately preceding the date fixed for redemption. A
                        trading day shall mean a day in which trading of
                        securities occurred on the American Stock Exchange.

                  (b)   The Company may exercise its right to redeem the
                        Warrants only by giving the notice set forth in the
                        following sentence by the end of the tenth day after the
                        provisions of Section 5(a) have been satisfied. In case
                        the Company shall exercise its right to redeem, it shall
                        give notice to the registered holders of the outstanding
                        Warrants, by mailing to such registered holders, a
                        notice of redemption, first class, postage prepaid, at
                        their addresses as they shall appear on the records of
                        the Company. Any notice mailed in the manner provided
                        herein shall be conclusively presumed to have been duly
                        given, whether or not the registered holder actually
                        receives such notice.

                  (c)   The notice of redemption shall specify the redemption
                        price, the date fixed for redemption (which shall be the
                        thirtieth day after such notice is mailed), the place
                        where the Warrant certificates shall be delivered and
                        the redemption price shall be paid, and that the right
                        to exercise the Warrant shall terminate at 5:00 p.m.
                        (Houston, Texas time) on the business day immediately
                        preceding the date fixed for redemption.

                                                              EXHIBIT 4.4 PAGE 4

                  (d)   Appropriate adjustment shall be made to the redemption
                        price and to the minimum Daily Market Price prerequisite
                        to redemption set forth in Section 5(a) hereof, in each
                        case on the same basis as provided in Section 3 hereof,
                        with respect to adjustment of the Warrant Price.

                  (e)   For purposes of this Agreement, the term "Daily Market
                        Price" shall mean:

                        (i)   if the Common Stock is traded in the
                              over-the-counter market and not on the American
                              Stock Exchange ("AMEX"), or on any national
                              securities exchange, the closing bid price of the
                              Common Stock on the trading day in question, as
                              reported by AMEX or an equivalent generally
                              accepted reported service; or

                        (ii)  if the Common Stock is traded on the AMEX or on a
                              national securities exchange, the daily per share
                              closing price of the Common Stock on the AMEX, or
                              on the principal stock exchange on which it is
                              listed on the trading day in question, as the case
                              may be.

                  For purposes of clause (i) above, if trading in the Common
                  Stock is not reported by the AMEX, the bid price referred to
                  in said clause shall be the lowest bid price as reported in
                  the "pink sheets" published by National Quotation Bureau,
                  Incorporated. The closing price referred to in clause (ii)
                  above shall be the last reported sale price, or, in case no
                  such reported sale takes place on such day, the average of the
                  reported closing bid and asked prices, in either case on the
                  AMEX or on the national securities exchange on which the
                  Common Stock is then listed.

           6.  GENERAL

                  The Company shall, at all times during the term of the
               Warrants, reserve and keep available, out of its authorized but
               unissued shares of Common Stock, such number of Common Stock as
               will be sufficient to satisfy the requirements of this Warrant
               Certificate; and, if at any time, the number of authorized but
               unissued shares of Common Stock shall be insufficient to effect
               the exercise of the Warrants, in addition to such other remedies
               as shall be available to the Holder, the Company shall take such
               corporate action as may, in the opinion of the Company, be
               necessary to increase its authorized but unissued shares of
               Common Stock to such number as shall be sufficient for such
               purposes. The Company shall pay all original issue and transfer
               taxes with respect to the issue and transfer of shares of Common
               Stock pursuant hereto and all other fees and expenses necessarily
               incurred by the Company in connection therewith, and will, from
               time to time, use its best efforts to comply with all laws and
               regulations which, in the opinion of the Company, shall be
               applicable thereto.

           7.  LEGENDS

               It is understood that the certificates evidencing the Shares may
bear the following legend:

               "THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN
               REGISTERED UNDER THE SECURITIES ACT OF 1933; THEY HAVE BEEN
               ACQUIRED BY THE HOLDER FOR INVESTMENT AND MAY NOT BE PLEDGED,
               HYPOTHECATED, SOLD, TRANSFERRED, OR OTHERWISE DISPOSED OF EXCEPT
               AS MAY BE AUTHORIZED UNDER THE SECURITIES ACT OF 1933 AND THE
               RULES AND REGULATIONS PROMULGATED THEREUNDER".

           8.  NOTICES

                  Any notice required by the provisions of this Warrant
               Certificate to be given to the Holder shall be deemed given three
               (3) days after it is deposited in the U.S. Mail, first-class
               postage prepaid, addressed to the Holder at its address appearing
               on the books of the Company, or on the date actually delivered in
               person.

                                                              EXHIBIT 4.4 PAGE 5


           9.  GOVERNING LAW

                  This Warrant Certificate shall be governed by and construed in
               accordance with the laws of the state of Texas.

      IN WITNESS WHEREOF, the Company has caused this Warrant Certificate to be
duly executed as of the date first above written.

                                       FORTUNE PETROLEUM CORPORATION

                                       By: TYRONE J. FAIRBANKS
                                           President and Chief Executive Officer

                                                              EXHIBIT 4.4 PAGE 6

                               NOTICE OF EXERCISE

TO:      FORTUNE PETROLEUM CORPORATION:

           The undersigned hereby:

            (1)   elects to exercise_______________ Warrants represented by the
                  attached Warrant Certificate No.____________ , and to
                  purchase______________ shares of Common Stock of Fortune
                  Petroleum Corporation issuable upon the exercise of said
                  Warrants, and

            (2)   tenders herewith payment of the Purchase Price of such shares
                  in full, and requests that certificates representing such
                  shares be issued in the name of and delivered to the following
                  [ please print]:

                 _________________________________________________
                   Social Security or Other Identifying Number

                 _________________________________________________
                                      Name

                 _________________________________________________
                        Street Address or Post Office Box

                 _________________________________________________
                            City, State and Zip Code

_______________________
      Date:                                _____________________________________
                                                       Print Name of Holder

                                           _____________________________________
                                                         Signature

                                           _____________________________________
                                                           Title

                                                              EXHIBIT 4.4 PAGE 7